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Finding the Fourth Proportional to 256,012.12, 383,984.46 and 76,093.71

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Solution

The fourth proportional to 256,012.12, 383,984.46 and 76,093.71 is: 114,130.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,012.12 : 383,984.46 = 76,093.71 : x
  2. Step 2: Convert to fraction form
    256,012.12/383,984.46 = 76,093.71/x
  3. Step 3: Cross multiply
    256,012.12x = 383,984.46 × 76,093.71
  4. Step 4: Simplify right side
    256,012.12x = 29,218,802,143.75
  5. Step 5: Solve for x
    x = 29,218,802,143.75/256,012.12
  6. Step 6: Final answer
    x = 114,130.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.